18,54, 162, … Find the 8th term.

Question

18,54, 162, …
Find the 8th term.

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Thiên Ân 2 months 2021-07-24T15:05:59+00:00 1 Answers 2 views 0

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    2021-07-24T15:07:23+00:00

    Answer:

    a₈ = 39366

    Step-by-step explanation:

    The terms have a common ratio between consecutive terms

    r = 54 ÷ 18 = 162 ÷ 54 = 3

    This indicates the sequence is geometric with nth term

    a_{n} = a₁ (r)^{n-1}

    where a₁ is the first term and r the common ratio

    Here a₁ = 18 and r = 3 , then

    a₈ = 18 × 3^{7} = 18 × 2187 = 39366

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